Some recent preprints

Changing the heights of automorphism towers, with J. Hamkins, accepted for publication in Annals Pure Appl. Logic as of 8/30/99
The automorphism tower problem revisited, with W. Just and S. Shelah, accepted for publication in Advances in Mathematics as of 11/24/98.
On the complexity of the isomorphism relation for finitely generated groups, with B. Velickovic, accepted for publication in J. Algebra as of 11/23/98.
On the complexity of the isomorphism relation for fields of finite transcendence degree, with B. Velickovic, accepted for publication in J. Pure Applied Algebra as of 12/7/99.
Infinite products of finite simple groups II, accepted for publication in Journal of Group Theory as of 10/12/98.
Asymptotic cones of finitely generated groups, with B. Velickovic, accepted for publication in Bull. London Math. Soc as of 3/24/99.
On the complexity of the classification problem for torsion-free abelian groups of rank two, accepted for publication in Acta Mathematica as of 3/30/01.
The classification problem for torsion-free abelian groups of finite rank accepted for publication in J. Amer. Math. Soc. as of 9/14/02.
On the complexity of the classification problem for torsion-free abelian groups of finite rank,
Some applications of superrigidity to Borel equivalence relations, accepted for publication in the Proceedings of the Hajnal Conference as of 4/30/01.
Superrigidity and countable Borel equivalence relations accepted for publication in Annals Pure Appl. Logic as of 5/6/02.
Classifying spaces for proper actions of locally-finite groups, with W. Dicks, P. H. Kropholler and I. J. Leary, accepted for publication in Journal of Group Theory as of 2/12/02.
The virtual isomorphism problem for finitely generated groups accepted for publication in Bull. London Math. Soc. as of 12/3/02
The classification problem for p-local torsion-free abelian groups of finite rank unpublished preprint, April 2002.
Asymptotic cones of finitely presented groups with L. Kramer, S. Shelah and K. Tent, accepted for publication in Advances in Mathematics as of 3/30/04.
Cayley graphs of finitely generated groups accepted for publication in Proc AMS as of 9/1/04.
Property tau and countable Borel equivalence relations accepted for publication in J. Math. Logic as of 3/11/07.
The classification problem for p-local torsion-free abelian groups of rank two with Greg Hjorth, accepted for publication in J. Math. Logic as of 2/23/07.
Borel superrigidity and the classification problem for the torsion-free Abelian groups of finite rank accepted for publication in the Proceedings of the ICM - Madrid, August 22-30, 2006.
Popa superrigidity and countable Borel equivalence relations accepted for publication in Annals Pure Appl. Logic as of 7/31/07.
The classification problem for finite rank Butler groups accepted for publication in Contributions to Module Theory as of 8/10/07.
The commensurability relation for finitely generated groups submitted September 2007.
On the complexity of the quasi-isometry and virtual isomorphism problems for finitely generated groups accepted for publication in Groups, Geometry, and Dynamics as of 02/08/08.
A remark on the Higman-Neumann-Neumann Embedding Theorem accepted for publication in Journal of Group Theory as of 9/2/08.
On the concept of "largeness" in group theory submitted May 2008.
Ultraproducts of finite alternating groups an REU project with P. Ellis, S. Hachtman and S. Schneider, not intended for publication.

This page includes material based upon work supported by the National Science Foundation under successive grants including Grants No 9803417, 0100794 and 0600940. Any opinions, findings, conclusions, or recommendations expressed herein are those of the authors and do not necessarily reflect the views of the National Science Foundaion.